AMC historical results

This is the AMC historical results page. This page should include results for the AIME as well. For USAMO results, see USAMO historical results.

Explanations of Awards

• Average score: Average score of all participants, regardless of age, grade level, gender, and region.
• AIME floor: Before 2020, approximately the top 2.5% of scores on the AMC 10 and the top 5% of scores on the AMC 12 were invited to participate in AIME. Since 2020, the AIME floor has been set to a higher percentage of scores, possibly to allow a consistent number of AIME qualifiers, rather than a fixed percentage. Usually, the top 7000 competitors are qualified for the AIME.
• Distinction: First awarded in 2020. Top 5% of scores on the AMC 10/12.
• Distinguished Honor Roll: Top 1% of scores on the AMC 10/12.
• Honor Roll: Stopped in 2020. Top 5% of the scores on the AMC 10.

Apparently a solution was added today to the 2022 USAMO Problem 6 page. Could someone check/verify the proof to make sure that its accurate?

2023

AMC 8

• Average score:
• Honor roll:
• DHR:

AIME I

• Average score:
• Median score:
• USAMO cutoff:
• USAJMO cutoff:

AIME II

• Average score:
• Median score:
• USAMO cutoff:
• USAJMO cutoff:

2022

AMC 10A

• Average score:
• AIME floor: 93
• Distinction: 100.5
• DHR: 121.5

AMC 10B

• Average score:
• AIME floor: 94.5
• Distinction: 100.5
• DHR: 114

AMC 12A

• Average score:
• AIME floor: 85.5
• Distinction: 106.5
• DHR: 126

AMC 12B

• Average score:
• AIME floor: 81
• Distinction: 105
• DHR: 129

AMC 8

• Average score: 9.74
• Honor Roll: 19
• DHR: 22

AIME I

• Average score: 4.8283
• Median score: 4
• USAMO cutoff: 222 (AMC 12A), 227.5 (AMC 12B)
• USAJMO cutoff: 203.5 (AMC 10A), 190.5 (AMC 10B)

AIME II

• Average score:
• Median score:
• USAMO cutoff: 208.5 (AMC 12A), 203 (AMC 12B)
• USAJMO cutoff: 196.5 (AMC 10A), 182 (AMC 10B)

2021 Fall

AMC 10A (Wednesday, November 10)

• Average score: 59.63
• AIME floor: 96
• Distinction: 100.5
• Distinguished Honor Roll: 117

AMC 10B (Tuesday, November 16)

• Average score: 56.57
• AIME floor: 96
• Distinction: 100.5
• Distinguished Honor Roll: 120

AMC 12A (Wednesday, November 10)

• Average score: 63.65
• AIME floor: 91.5
• Distinction: 111
• Distinguished Honor Roll: 130.5

AMC 12B (Tuesday, November 16)

• Average score: 57.37
• AIME floor: 84
• Distinction: 103.5
• Distinguished Honor Roll: 130.5

Schedule Change

In April 2021, MAA announced they would be moving the AMC 10/12 to November, before the new year, and AMC 8 to January, after the new year; however, the AIME would remain after the new year. Thus there are two "2021 AMC 10/12s", no "2021 AMC 8", and one “2021 AIME”. All future AMC contests will follow this schedule.

2021 Spring

AMC 10A (Thursday, February 4)

• Average score: 65.53
• AIME floor: 103.5
• Distinction: 112.5
• Distinguished Honor Roll: 132

AMC 10B (Wednesday, February 10)

• Average score: 62.31
• AIME floor: 102
• Distinction: 108
• Distinguished Honor Roll: 126

AMC 12A (Thursday, February 4)

• Average score: 67.42
• AIME floor: 93
• Distinction: 114
• Distinguished Honor Roll: 133.5

AMC 12B (Wednesday, February 10)

• Average score: 61.55
• AIME floor: 91.5
• Distinction: 109.5
• Distinguished Honor Roll: 132

AIME I (Wednesday, March 10)

• Average score: 5.44
• Median score: 5
• USAMO cutoff: 229.5 (AMC 12A), 231.5 (AMC 12B)
• USAJMO cutoff: 217 (AMC 10A), 213 (AMC 10B)

AIME II (Thursday, March 18)

• Average score: 5.42
• Median score: 5
• USAMO cutoff: 238 (AMC 12A), 238 (AMC 12B)
• USAJMO cutoff: 223 (AMC 10A), 214.5 (AMC 10B)

2020

AMC 10A

• Average score: 64.29
• AIME floor: 103.5
• Distinction: 105
• Distinguished Honor Roll: 124.5

AMC 10B

• Average score: 61.22
• AIME floor: 102
• Distinction: 103.5
• Distinguished Honor Roll: 120

AMC 12A

• Average score: 61.42
• AIME floor: 87
• Distinction: 100.5
• Distinguished Honor Roll: 123

AMC 12B

• Average score: 60.47
• AIME floor: 87
• Distinction: 97.5
• Distinguished Honor Roll: 120

AIME I

• Average score: 5.69
• Median score: 6
• USAMO cutoff: 233.5 (AMC 12A), 235 (AMC 12B)
• USAJMO cutoff: 229.5 (AMC 10A), 230 (AMC 10B)

AIME II

Due to COVID-19, the 2020 AIME II was administered online and referred to as the AOIME.

• Average score: 6.13
• Median score: 6
• USAMO cutoff: 234 (AMC 12A), 234.5 (AMC 12B)
• USAJMO cutoff: 233.5 (AMC 10A), 229.5 (AMC 10B)

AMC 8

• Average score: 10.00
• Honor Roll: 18
• DHR: 21

2019

AMC 10A

• Average score: 51.66
• Honor roll: 96
• AIME floor: 103.5
• DHR: 123

AMC 10B

• Average score: 58.42
• Honor roll: 102
• AIME floor: 108
• Distinguished Honor Roll: 121.5

AMC 12A

• Average score: 49.22
• AIME floor: 84
• DHR: 121.5

AMC 12B

• Average score: 56.73
• AIME floor: 94.5
• DHR: 123

AIME I

• Average score: 5.88
• Median score: 6
• USAMO cutoff: 220 (AMC 12A), 230.5 (AMC 12B)
• USAJMO cutoff: 209.5 (AMC 10A), 216 (AMC 10B)

AIME II

• Average score: 6.47
• Median score: 6
• USAMO cutoff: 230.5 (AMC 12A), 236 (AMC 12B)
• USAJMO cutoff: 216.5 (AMC 10A), 220.5 (AMC 10B)

AMC 8

• Average score: 9.43
• Honor roll: 19
• DHR: 23

2018

AMC 10A

• Average score: 53.84
• Honor roll: 100.5
• AIME floor: 111
• DHR: 127.5

AMC 10B

• Average score: 57.81
• Honor roll: 97.5
• AIME floor: 108
• DHR: 123

AMC 12A

• Average score: 56.36
• AIME floor: 93
• DHR: 120

AMC 12B

• Average score: 57.85
• AIME floor: 99
• DHR: 126

AIME I

• Average score: 5.09
• Median score: 5
• USAMO cutoff: 215 (AMC 12A), 235 (AMC 12B)
• USAJMO cutoff: 222 (AMC 10A), 212 (AMC 10B)

AIME II

• Average score: 5.48
• Median score: 5
• USAMO cutoff: 216 (AMC 12A), 230.5 (AMC 12B)
• USAJMO cutoff: 222 (AMC 10A), 212 (AMC 10B)

AMC 8

• Average score: 8.51
• Honor roll: 15
• DHR: 19

2017

AMC 10A

• AIME floor: 112.5
• DHR: 127.5
• HR: 112.5
• Mean: 59.33
• Median: 55.5

AMC 10B

• AIME floor: 120
• DHR: 136.5
• HR: 120
• Mean: 66.56
• Median: 61.5

AMC 12A

• AIME floor: 96
• DHR: 115.5
• HR: 96
• Mean: 57.0
• Median: 52.5

AMC 12B

• AIME floor: 100
• DHR: 129
• HR: 100.5
• Mean: 58.35
• Median: 54

AIME I

• USAMO floor: 225.5 (AMC 12A), 235 (AMC 12B)
• USAJMO floor: 224.5 (AMC 10A), 233 (AMC 10B)
• Mean: 5.69
• Median: 5

AIME II

• USAMO floor: 221 (AMC 12A), 230.5 (AMC 12B)
• USAJMO floor: 219 (AMC 10A), 225 (AMC 10B)
• Mean: 5.64
• Median: 5

USAJMO

• Participants: 208

USAMO

• Participants: 280

AMC 8

• DHR: 20
• HR: 17
• Mean: 8.96

2016

AMC 10A

• Average score: 65.31
• AIME floor: 110
• DHR: 120

AMC 10B

• Average score: 65.40
• AIME floor: 110
• DHR: 124.5

AMC 12A

• Average score: 60.32
• AIME floor: 93
• DHR: 111

AMC 12B

• Average score: 68.65
• AIME floor: 100.5
• DHR: 127.5

AIME I

• Average score: 5.83
• Median score: 6
• USAMO cutoff: 220
• USAJMO cutoff: 210.5

AIME II

• Average score: 4.43
• Median score: 4
• USAMO cutoff: 205
• USAJMO cutoff: 200

AMC 8

• Average score: 9.36
• Honor roll: 18
• DHR: 22

2015

AMC 10A

• Average score: 73.39
• AIME floor: 106.5
• DHR: 115.5

AMC 10B

• Average score: 76.09
• AIME floor: 120
• DHR: 132

AMC 12A

• Average score: 69.90
• AIME floor: 99
• DHR: 117

AMC 12B

• Average score: 66.88
• AIME floor: 100.5
• DHR: 126

AIME I

• Average score: 5.29
• Median score: 5
• USAMO cutoff: 219.0
• USAJMO cutoff: 213.0

AIME II

• Average score: 6.63
• Median score: 6
• USAMO cutoff: 229.0
• USAJMO cutoff: 223.5

AMC 8

• Average score: 8.55
• Honor roll: 16
• DHR: 21

2014

AMC 10A

• Average score: 63.34
• AIME floor: 120
• DHR: 132

AMC 10B

• Average score: 71.42
• AIME floor: 120
• DHR: 132

AMC 12A

• Average score: 63.60
• AIME floor: 93
• DHR: 109.5

AMC 12B

• Average score: 68.12
• AIME floor: 100.5
• DHR: 121.5

AIME I

• Average score: 4.88
• Median score: 5
• USAMO cutoff: 211.5
• USAJMO cutoff: 211

AIME II

• Average score: 5.49
• Median score: 5
• USAMO cutoff: 211.5
• USAJMO cutoff: 211

AMC 8

• Average score: 11.43
• Honor roll: 19
• DHR: 23

2013

AMC 10A

• Average score: 72.50
• AIME floor: 108
• DHR: 117

AMC 10B

• Average score: 72.62
• AIME floor: 120
• DHR: 129

AMC 12A

• Average score: 65.06
• AIME floor: 88.5
• DHR: 106.5

AMC 12B

• Average score: 64.21
• AIME floor: 93
• DHR: 108

AIME I

• Average score: 4.69
• Median score: 4
• USAMO cutoff: 209
• USAJMO cutoff: 210.5

AIME II

• Average score: 6.56
• Median score: 6
• USAMO cutoff: 209
• USAJMO cutoff: 210.5

AMC 8

• Average score: 10.69
• Honor roll: 18
• DHR: 22

2012

AMC 10A

• Average score: 72.51
• AIME floor: 115.5
• DHR: 121.5

AMC 10B

• Average score: 76.59
• AIME floor: 120
• DHR: 133.5

AMC 12A

• Average score: 64.62
• AIME floor: 94.5
• DHR: 109.5

AMC 12B

• Average score: 70.08
• AIME floor: 99
• DHR: 114

AIME I

• Average score: 5.13
• Median score: 5
• USAMO cutoff: 204.5
• USAJMO cutoff: 204

AIME II

• Average score: 4.94
• Median score: 5
• USAMO cutoff: 204.5
• USAJMO cutoff: 204

AMC 8

• Average score: 10.67
• Honor roll: 18
• DHR: 22

2011

AMC 10A

• AIME floor: 117
• DHR: 129
• HR: 117
• Mean: 64.24

AMC 10B

• AIME floor: 117
• DHR: 133.5
• HR: 117
• Mean: 71.78

AMC 12A

• AIME floor: 93
• DHR: 112.5
• HR: 92
• Mean: 65.38

AMC 12B

• AIME floor: 97.5
• DHR: 121.5
• HR: 92
• Mean: 64.71

AIME I

• USAMO floor: 188
• USAJMO floor: 179
• Mean: 2.23
• Median: 2

AIME II

• USAMO floor: 215.5
• USAJMO floor: 196.5
• Mean: 5.47
• Median: 5

USAJMO

• Participants: 222

USAMO

• Participants: 282

AMC 8

• DHR: 22
• HR: 17
• Mean: 10.75

2010

AMC 10A

• AIME floor: 118.5
• AIME qualifiers: 960 (1.5%)
• DHR: 121.5
• HR: 118.5
• Mean: 70.8

AMC 10B

• AIME floor: 118.5
• AIME qualifiers: 770 (2.0%)
• DHR: 124.5
• HR: 118.5
• Mean: 68.3

AMC 12A

• AIME floor: 88.5
• AIME qualifiers: 4874 (7.1%)
• DHR: 108
• HR: 88.5
• Mean: 62.5

AMC 12B

• AIME floor: 88.5
• AIME qualifiers: 3270 (8.0%)
• DHR: 108
• HR: 88.5
• Mean: 59.8

AIME I

• Mean: 4.12
• Median: 3
• Participants: 3618

AIME II

• Mean: 5.91
• Median: 6
• Participants: 2904

USAJMO

• USAJMO floor: 188.5 Index or 11 AIME
• Participants: 235

USAMO

• USAMO floor: 208.5 (204.5 for non juniors and seniors)
• Participants: 328

AMC 8

• DHR: 22
• HR: 17
• Mean: 9.59

2009

AMC 10A

• AIME floor: 120
• AIME qualifiers: 3045 (4.2%)
• DHR: 133.5
• HR: 120
• Mean: 70.4

AMC 10B

• AIME floor: 120
• AIME qualifiers: 2365 (7.5%)
• DHR: 141
• HR: 124.5
• Mean: 74.4

AMC 12A

• AIME floor: 97.5
• AIME qualifiers: 5614 (6.7%)
• DHR: 117
• HR: 100.5
• Mean: 68.0

AMC 12B

• AIME floor: 100
• AIME qualifiers: 3723 (10.8%)
• DHR: 124.5
• HR: 108
• Mean: 71.7

AIME I

• Mean: 4.17
• Median: 4

AIME II

• Mean: 3.27
• Median: 3

USAMO

• USAMO floor: 201 Index or (7 AIME and 215 Index)
• Participants: 514

AMC 8

• DHR: 20
• HR: 17
• Mean: 10.28

2008

AMC 10A

• AIME floor: 117
• AIME qualifiers: 1765 (2.6%)
• DHR: 127.5
• HR: 100.5
• Mean: 58.1

AMC 10B

• AIME floor: 120
• AIME qualifiers: 933 (2.7%)
• DHR: 127.5
• HR: 100.5
• Mean: 66.6

AMC 12A

• AIME floor: 97.5
• AIME qualifiers: 5183 (6.5%)
• DHR: 120
• HR: 97.5
• Mean: 65.6

AMC 12B

• AIME floor: 97.5
• AIME qualifiers: 3367 (8.1%)
• DHR: 120
• HR: 97.5
• Mean: 68.9

AIME I

• Mean: 4.77
• Median: 4

AIME II

• Mean: 5.27
• Median: 5

USAMO

• USAMO floor: 204 (215 Index with 7 AIME for non juniors and seniors)
• Participants: 503

AMC 8

• DHR: 22
• HR: 19
• Mean: 11.45

2007

AMC 10A

• Average score: 67.9
• AIME floor: 117

AMC 10B

• Average score: 61.5
• AIME floor: 115.5

AMC 12A

• Average score: 66.8
• AIME floor: 97.5

AMC 12B

• Average score: 73.1
• AIME floor: 100

AIME I

• Average score: 5
• Median score: 3
• USAMO floor: 6

AIME II

• Average score:
• Median score:
• USAMO floor:

AMC 8

• Average score: 9.87
• Honor roll: 17
• DHR: 21

2006

AMC 10A

• AIME floor: 120
• AIME qualifiers: 1680 (2.7%)
• Mean: 79.0

AMC 10B

• AIME floor: 120
• AIME qualifiers: 870 (2.3%)
• Mean: 68.5

AMC 12A

• AIME floor: 100
• AIME qualifiers: 17118 (22.3%)
• Mean: 85.7

AMC 12B

• AIME floor: 100
• AIME qualifiers: 10654 (21.2%)
• Mean: 85.5

AIME I

• Participants:
• Mean:

AIME II

• Participants:
• Mean:

USAMO

• AMC 12 USAMO floor: 217 Index
• AMC 10 USAMO floor: 8 AIME
• Participants: 432

AMC 8

• DHR: 21
• HR: 17

2005

AMC 10A

• AIME floor: 120
• AIME qualifiers: 1258 (1.9%)
• DHR: 120
• HR: 100
• Mean: 74.7

AMC 10B

• AIME floor: 120
• AIME qualifiers: 555 (1.6%)
• DHR: 120
• HR: 100
• Mean: 77.9

AMC 12A

• AIME floor: 100
• AIME qualifiers: 9441 (11.2%)
• DHR: 120
• HR: 100
• Mean: 78.7

AMC 12B

• AIME floor: 100
• AIME qualifiers: 5692 (12.8%)
• DHR: 120
• HR: 100
• Mean: 83.4

AIME I

• AMC 12 USAMO floor: 233 Index
• Participants: 11197
• Mean: 2.754

AIME II

• AMC 12 USAMO floor: 220.5 Index
• Participants: 1279
• Mean: 2.439

USAMO

• AMC 10 USAMO floor: 9 AIME
• Participants: 259

AMC 8

• DHR: 20
• HR: 16

2004

AMC 10A

• AIME floor: 110
• AIME qualifiers: 1118 (1.4%)
• DHR: 112.5
• HR: 100
• Mean: 69.1

AMC 10B

• AIME floor: 115
• AIME qualifiers: 487 (2.1%)
• DHR: 126
• HR: 100
• Mean: 80.4

AMC 12A

• AIME floor: 100
• AIME qualifiers: 8401 (8.1%)
• DHR: 117
• HR: 100
• Mean: 73.9

AMC 12B

• AIME floor: 100
• AIME qualifiers: 6036 (19.2%)
• DHR: 123
• HR: 100
• Mean: 84.5

AIME I

• Participants: 9824
• Mean: 2.246

AIME II

• Participants: 2121
• Mean: 1.959

USAMO

• AMC 12 USAMO floor: 210 Index
• AMC 10 USAMO floor: 7 AIME
• Participants: 261

AMC 8

• DHR: 21
• HR: 17

2003

AMC 10A

• AIME floor: 119
• AIME qualifiers: 1534 (2.0%)
• Mean: 74.4

AMC 10B

• AIME floor: 121
• AIME qualifiers: 350 (1.2%)
• Mean: 79.6

AMC 12A

• AIME floor: 100
• AIME qualifiers: 12089 (12.2%)
• Mean: 77.8

AMC 12B

• AIME floor: 100
• AIME qualifiers: 3812 (9.6%)
• Mean: 76.6

AIME I

• AMC 12 USAMO floor: 226 Index
• AMC 10 USAMO floor: 8 AIME
• Participants:
• Mean:

AIME II

• AMC 12 USAMO floor: 226 Index
• AMC 10 USAMO floor: 8 AIME
• Participants:
• Mean:

USAMO

• Participants: 250

AMC 8

• DHR: 22
• HR: 18

2002

AMC 10A

• AIME floor: 115
• AIME qualifiers: 921 (1.2%)
• Mean: 68.5

AMC 10B

• AIME floor: 118
• AIME qualifiers: 374 (1.5%)
• Mean: 74.9

AMC 12A

• AIME floor: 100
• AIME qualifiers: 7525 (7.2%)
• Mean: 72.7

AMC 12B

• AIME floor: 100
• AIME qualifiers: 5666 (16.8%)
• Mean: 80.8

AIME I

• Participants:
• Mean:

AIME II

• Participants:
• Mean:

USAMO

• AMC 12 USAMO floor: 210 Index
• AMC 10 USAMO floor: 6 AIME
• Participants: 326

2001

AMC 10

• AIME floor: 116
• AIME qualifiers: 1790 (1.7%)
• Mean: 67.8

AMC 12

• AIME floor: 84
• AIME qualifiers: 9030 (3.4%)
• Mean: 56.6

AIME I

• Participants:
• Mean:

AIME II

• Participants:
• Mean:

USAMO

• AMC 12 USAMO floor: 213 Index
• AMC 10 USAMO floor: 7 AIME
• Participants: 268

2000

AMC 10

• AIME floor: 110
• AIME qualifiers: 3892
• Mean: 64.2

AMC 12

• AIME floor: 92
• AIME qualifiers: 9260 (3.3%)
• Mean: 64.9

AIME I

• Participants:
• Mean:

AIME II

• Participants:
• Mean:

USAMO

• Grade 12 USAMO floor: 212 Index
• Grade 11 USAMO floor: 204 Index
• Grade 10 USAMO floor: 174 Index, 8 AIME
• Grade 9 USAMO floor: 164 Index, 7 AIME
• Participants: 239

1999

AHSME

• Average score: 68.8
• AIME floor:

AIME

• Average score:
• Median score:
• USAMO floor: